We rewrite 214 as 200 + 10 + 4 and apply the identity for the square of a three-term sum. Summing the three individual squares and their cross-products gives 45796.
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We evaluate the square of 214 by breaking it down into the three-term addition expression 200 + 10 + 4. This fits the identity formula where a is 200, b is 10, and c is 4. The squares are 40000, 100, and 16. The cross-products are two times each pair combination, which gives 4000, 1600, and 80. Adding all these numerical values together gives 45796.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/